) 20, 0.83.3 D) 24, 1,2.5 57) Patients are arriving at a clinic at a rate of two
ID: 426837 • Letter: #
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) 20, 0.83.3 D) 24, 1,2.5 57) Patients are arriving at a clinic at a rate of two per minute. Each patient's visit consists of four steps: check in, record vital signs, receive treatment, and check out. A receptionist takes I minute to check a patient in. A nurse takes 2 minutes to record the patient's vital signs. A doctor spends 10 minutes with a patient. A staff member takes 3 minutes to check a patient out. What is the cycle time of the process in minutes? A) 3 C) 20 B) 10 D) Cannot be determined 58) Students are going through a three-step process to obtain their ID cards. Each student will spend 2 minutes at the registration desk before going to one of three cashiers to pay a fee for the ID card. After that, he/she will visit one of four ID processing stations to have his/her picture taken and ID card printed. Visits to the cashier and ID processing station take 10 and 20 minutes respectively. If the demand rate is 0.125 student per minute, how long does it take to process 20 students assuming the system is full? A) 152 minutes B) 100 minutes C) 160 minutes D) 184 minutes 59) During the two hours of the morning rush from 8 a.m. to 10 a.m., 100 customers per hour arrive at the coffee shop. The coffee shop has a capacity of 80 customers per hour. How long does the customer arriving at 10 a.m. have to wait to be served? B) 0.5 hour c) 1 hour D) 0.25 hour A) 2 hours 60) Packages arrive at a facility at a rate of 30 per hour and are processed continuously at a rate of 25 D) 1.75 hours per hour. The facility is open from 8 a.m. to 4 p.m. How long does the last package wait before it is processed? C) 1.60 hours B) 1.33 hours A) 1.20 hours and the coefficient of variation of the arrival process is 1. The average processing time is 3 minutes. What is the average time a customer waits in the queue according to the single-server queue model? 61) A server operates with 80% utilization. The coefficient of variation for the service process is 0.5 D) 10.5 minutes C) 3 minutes B) 3.75 minutes A) 7.5 minutesExplanation / Answer
57)
Cycle time is defined as the total time taken to execute a process from beginning to its end.
As mentioned here, there are four steps in the process namely, check in, record vital sign, receive treatment and check out. The time taken for each of the processes are given which adds up to 1+2+10+3 = 16 minutes.
But, it is also provided in the beginning of the question that patients are arriving at the clinic at a rate of 2 per minutes, which makes it difficult to judge as if which patient came first and with which patient does a receptionist starts the process. This will overall change the cycle time for both the patients coming within that minute. Therefore, we cannot determine the cycle time.
Hence, d. Cannot be determined.
58)
The ID Card printing time is not given in the question. So, it seems like some data is missing in this question and hence as per my view the answer could not be determined due to insufficient data points in the question.
59)
Between 8 am and 9 am, 80 customers will be served. Hence, 20 customers remain as 100 customers have arrived between 8 am and 9 am.
Between 9 am and 10 am, 80 customers will be served. Adding to the 20 customers left in the previous slot with 100 customers between 9 am and 10 am, we have 120 customers for the slot 9 am to 10 am. But, only 80 customers can be served during this interval. Then, 40 customers will be left for the next slot.
The customer entering the coffee shop must wait 40/80 hour = 0.5 hour as the capacity that coffee shop has is 80 and there are 40 customers left from the previous slot that needs to be served first.
Hence, b. 0.5 hour.
60)
It is given that the facility is open from 8 am to 4 pm, which means for 8 hours.
Since, 30 packages arrive at the facility per hour. Therefore, total packages that would arrive in the facility totals to 30*8=240 packages.
Within this 8 hours’ duration, the total packages that could be processed would be 25*8=200 packages.
Now, till the 6th hour, the facility will receive a total of 30*6=180 packages, in the next 2/3rd hour the facility will receive 20 more packages and this will total to 200 packages (that can be processed within the time limit). So, the last package would have to wait 1/3rd of the 7th hour and full 8th hour. This is equivalent to 1.33 hours.
Hence, b. 1.33 hours.
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